A reformulation of entropy in the presence of indistinguishability operators

Recasens Ferrés, Jorge; Hernández, E

doi:10.1016/S0165-0114(01)00143-9

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Recasens Ferrés, Jorge

Hernández, E

Document typeArticle

Defense date2002-06

Rights accessRestricted access - publisher's policy

All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder

Abstract

This paper deals with the measurement of entropy when an indistinguishability relation on the set of events has been defined. Our approach states that entropy could be measured in terms of the observed distinguishability of the set of events. In this sense, the “observer paradigm” is introduced, and definitions for joint and conditional entropy under this paradigm are given. We also present some interesting properties and relationships with Shannon's entropy measure.

CitationRecasens, J.; Hernández, E. A reformulation of entropy in the presence of indistinguishability operators. "Fuzzy sets and systems", Juny 2002, vol. 128, núm. 2, p. 185-196.

URIhttp://hdl.handle.net/2117/19242

DOI10.1016/S0165-0114(01)00143-9

ISSN0165-0114

Publisher versionhttp://www.sciencedirect.com/science/journal/01650114

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